Question

http://postimg.org/image/rpcwj7gj9/faf27263/

Can anyone help me with 2 geometry questions?! :D

Answer 1

no problem, i might have to hop back and forth with another person lol

Answer 2

SO for 22, the lighter sphere's diameter is 4, and the shaded sphere is 12

Answer 3

do you know the sphere volume equation?

Answer 4

V= 4/3(pi)(r)^3 ?

Answer 5

as for the question itself, you just find the volumes, and subtract from each other

Answer 6

yes correct!

Answer 7

But remember it is DIAMETER, and we want RADIUS, and to get that, we divide the diameter by 2

Answer 8

Then you just plug the values of the radius for the equation and find both, then subtract to find your answer!, find it and i will check

Answer 9

so is the diameter 8?

Answer 10

no, one of the diameter is 4, and one is 12

Answer 11

so find the radius of them both! and then plug them in

Answer 12

ohhh! I didn't see the 12 xD

Answer 13

so I do 4/3 * 3.14 * 6^3 ?

Answer 14

yes sorry! i was helping another person

Answer 15

And you would do the same for the other sphere, whose diameter is 4

Answer 16

and I get 1657.92 - 33.49 ?

Answer 17

How did you get 1657.etc

Answer 18

I plugged 4/3 * 3.14 * (6)^3

Answer 19

hmmm, well
4/3= 1.3333333....
1.3333.....x3.14 (personally like to use pi but whatever :P)=4.18666666...
So then 6^3 equals 216
so 4.1866666666X216=904.32

Answer 20

other one is right :)

Answer 21

Wow xD blonde moment there! Can you help with the other if you have the time? XD

Answer 22

yea! so we know how to find the shaded area quickly, because volume of rectangular prism is l x w x h

Answer 23

Do you know the cylinder volume formula

Answer 24

v=(pi)(r^2)(h)

Answer 25

yes!

Answer 26

So we already know the height and radius. To know these you have to image a bit.

The circle/ends of the cylinder take up the whole ends of the prism except for those slivers. The diameter would just be one of the sides, which is 8 in this case. Then we find the radius which is 4

Answer 27

and to find the hieght it is the length of the prism, which is, you guessed it, 32

Answer 28

so then we just subtract the volumes from each other

Answer 29

hope i helped!!!!